A mean-field statistical theory for the nonlinear Schrödinger equation

DOI10.1016/S0167-2789(99)00194-3zbMath0944.35096arXivchao-dyn/9904030OpenAlexW1981911537MaRDI QIDQ1970101

Richard Jordan, Bruce Turkington, Craig L. Zirbel

Publication date: 26 September 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9904030

zbMATH Keywords

nonlinear Schrödinger equationcoherent structuresmean-field theorystatistical equilibria

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10) Coherent states (81R30)

Related Items (11)

A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation ⋮ A complexity approach to the soliton resolution conjecture ⋮ Localization and coherence in nonintegrable systems ⋮ Simulation of coherent structures in nonlinear Schrödinger-type equations ⋮ A mean-field statistical theory for the nonlinear Schrödinger equation ⋮ Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves ⋮ Kinetic description of random optical waves and anomalous thermalization of a nearly integrable wave system ⋮ Statistical equilibrium states for the nonlinear Schrödinger equation ⋮ Dispersive wave turbulence in one dimension ⋮ Nonequilibrium statistical behavior of nonlinear Schrödinger equations ⋮ The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble

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